Convergence of Levy-Lieb to Thomas-Fermi density functional

Abstract

We prove that the Levy-Lieb density functional Gamma-converges to the Thomas-Fermi functional in the semiclassical mean-field limit. In particular, this aides an easy alternative proof of the validity of the atomic Thomas-Fermi theory which was first established by Lieb and Simon.

arXiv commentRevised version to appear on Calculus of Variations and PDE